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Finding the Fourth Proportional to 442,874.60, 664,311.90 and 431,210.60

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Solution

The fourth proportional to 442,874.60, 664,311.90 and 431,210.60 is: 646,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,874.60 : 664,311.90 = 431,210.60 : x
  2. Step 2: Convert to fraction form
    442,874.60/664,311.90 = 431,210.60/x
  3. Step 3: Cross multiply
    442,874.60x = 664,311.90 × 431,210.60
  4. Step 4: Simplify right side
    442,874.60x = 286,458,332,986.14
  5. Step 5: Solve for x
    x = 286,458,332,986.14/442,874.60
  6. Step 6: Final answer
    x = 646,815.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.